# Let's prepare for RMO #2

Find all positive integers $$n$$ for which there exist positive integers $$x,y$$ and $$k$$ such that $$gcd(x,y)=1,k>1$$ and $$3^{n}=x^{k}+y^{k}$$.

Submit your answer as sum of all the values of $$(x,y,n,k)$$.

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